A145111 - cp's OEIS frontend

A145111 Square array A(n,k) of numbers of length n binary words with fewer than k 0-digits between any pair of consecutive 1-digits (n,k >= 0), read by antidiagonals.

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	7
14	5
15	1
16	2
17	4
18	8
19	11
20	6
21	1
22	2
23	4
24	8
25	15
26	16
27	7
28	1
29	2
30	4
31	8
32	16
33	27
34	22
35	8
36	1
37	2
38	4
39	8
40	16
41	31
42	47
43	29
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	59
52	80
53	37
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	63
62	111
63	134
64	46
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	123
74	207
75	222
76	56
77	12
78	1
79	2
80	4
81	8
82	16
83	32
84	64
85	127
86	239
87	384
88	365
89	67
90	13

[1, 1, 2, 1, 2, 3, 1, 2, 4, 4, 1, 2, 4, 7, 5, 1, 2, 4, 8, 11, 6, 1, 2, 4, 8, 15, 16, 7, 1, 2, 4, 8, 16, 27, 22, 8, 1, 2, 4, 8, 16, 31, 47, 29, 9, 1, 2, 4, 8, 16, 32, 59, 80, 37, 10, 1, 2, 4, 8, 16, 32, 63, 111, 134, 46, 11, 1, 2, 4, 8, 16, 32, 64, 123, 207, 222, 56, 12, 1, 2, 4, 8, 16, 32, 64, 127, 239, 384, 365, 67, 13]

cp's OEIS Frontend

A145111 Square array A(n,k) of numbers of length n binary words with fewer than k 0-digits between any pair of consecutive 1-digits (n,k >= 0), read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	7
14	5
15	1
16	2
17	4
18	8
19	11
20	6
21	1
22	2
23	4
24	8
25	15
26	16
27	7
28	1
29	2
30	4
31	8
32	16
33	27
34	22
35	8
36	1
37	2
38	4
39	8
40	16
41	31
42	47
43	29
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	59
52	80
53	37
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	63
62	111
63	134
64	46
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	123
74	207
75	222
76	56
77	12
78	1
79	2
80	4
81	8
82	16
83	32
84	64
85	127
86	239
87	384
88	365
89	67
90	13

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	7
14	5
15	1
16	2
17	4
18	8
19	11
20	6
21	1
22	2
23	4
24	8
25	15
26	16
27	7
28	1
29	2
30	4
31	8
32	16
33	27
34	22
35	8
36	1
37	2
38	4
39	8
40	16
41	31
42	47
43	29
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	59
52	80
53	37
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	63
62	111
63	134
64	46
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	123
74	207
75	222
76	56
77	12
78	1
79	2
80	4
81	8
82	16
83	32
84	64
85	127
86	239
87	384
88	365
89	67
90	13

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	7
14	5
15	1
16	2
17	4
18	8
19	11
20	6
21	1
22	2
23	4
24	8
25	15
26	16
27	7
28	1
29	2
30	4
31	8
32	16
33	27
34	22
35	8
36	1
37	2
38	4
39	8
40	16
41	31
42	47
43	29
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	59
52	80
53	37
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	63
62	111
63	134
64	46
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	123
74	207
75	222
76	56
77	12
78	1
79	2
80	4
81	8
82	16
83	32
84	64
85	127
86	239
87	384
88	365
89	67
90	13